This is one question. algebra 2 transformations

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

f(-x) - reflection over the y-axis

-f(x) - Reflection over the x-axis

f(x) = ln(x)

1. 2 units up → f(x) + 2 = ln(x) + 2

2. 2 units right → f(x - 2) = ln(x - 2)

3. 2 units left → f(x + 2) = ln(x + 2)

4. Reflect y-axis → f(-x) = ln(-x)

If these are further transformations of the graph, then:

1. f(x) + 2 = ln(x) + 2

2. f(x - 2) + 2 = ln(x - 2) + 2

3. f(x - 2 + 2) + 2 = f(x) + 2 = ln(x) + 2

4. f(x) + 2 - 2 = f(x) = ln(x)

5. f(-x) = ln(-x)

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: